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Finding the Fourth Proportional to 4,763.61, 7,144.81 and 1,476.63

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Solution

The fourth proportional to 4,763.61, 7,144.81 and 1,476.63 is: 2,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.61 : 7,144.81 = 1,476.63 : x
  2. Step 2: Convert to fraction form
    4,763.61/7,144.81 = 1,476.63/x
  3. Step 3: Cross multiply
    4,763.61x = 7,144.81 × 1,476.63
  4. Step 4: Simplify right side
    4,763.61x = 10,550,237.10
  5. Step 5: Solve for x
    x = 10,550,237.10/4,763.61
  6. Step 6: Final answer
    x = 2,214.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.